The successful harnessing of geothermal energy for the efficient heating and cooling of buildings relies upon the correct sizing of geothermal heat exchangers. This is done during the building’s design phase using extensive numerical simulations to forecast the unsteady thermal response of the geothermal heat exchanger and its surrounding ground for the next 25, 50, or even 100 years of operation. In the present work, an efficient numerical Laplace inversion formula is proposed, which applied to the obtained solution in the complex Laplace plane, allows the fast and accurate prediction of the sought unsteady thermal response.
REFERENCES
1.
P.
Eskilson
, Superposition Borehole Model, Manual for Computer Code, Department of Mathematical Physics, University of Lund
, Lund, Sweden
(1986
).2.
P.
Eskilson
, “Thermal analysis of heat extraction boreholes
,” Ph.D. thesis, Department of Mathematical Physics, Lund Institute of Technology, Lund, Sweden
1987
.3.
M.
Cimmino
, International Journal of Heat and Mass Transfer
91
, 1119
–1127
(2015
).4.
M.
Hermanns
and S.
Ibáñez
, SIAM Journal on Applied Mathematics
79
, 230
–256
(2019
).5.
M.
Hermanns
and S.
Ibáñez
, Submitted to SIAM Journal on Applied Mathematics
(2018
).6.
M.
Hermanns
, In preparation for SIAM Journal on Applied Mathematics
(2019
).7.
S.
Ibáñez
and M.
Hermanns
, SIAM Journal on Applied Mathematics
78
, 1658
–1681
(2018
).8.
M.
Hermanns
, AIP Conference Proceedings
2040
, 150002-1
–150002-4
(2018
).9.
A.
Talbot
, IMA Journal of Applied Mathematics
23
, 97
–120
(1979
).10.
J. A. C.
Weideman
, SIAM Journal on Numerical Analysis
44
, 2342
–2362
(2006
).11.
B.
Dingfelder
and J. A. C.
Weideman
, Numerical Algorithms
68
, 167
–183
(2015
).
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